Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Hephaestus Books represents a new publishing paradigm, allowing disparate content sources to be curated into cohesive, relevant, and informative books. To date, this content has been curated from Wikipedia articles and images under Creative Commons licensing, although as Hephaestus Books continues to increase in scope and dimension, more licensed and public domain content is being added. We believe books such as this represent a new and exciting lexicon in the sharing of human knowledge. This particular book is a collaboration focused on Millennium Prize Problems.More info: The Millennium Prize Problems are seven problems in mathematics that were stated by the Clay Mathematics Institute in 2000. As of August 2010, six of the problems remain unsolved. A correct solution to any of the problems results in a US$1, 000, 000 prize (sometimes called a Millennium Prize) being awarded by the institute. Only the Poincar conjecture has been solved, by Grigori Perelman, who declined the award.Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online.